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arxiv: 1402.1640 · v1 · pith:7K5V2U5Cnew · submitted 2014-02-07 · 🧮 math.NT

A characterization of almost universal ternary quadratic polynomials with odd prime power conductor

classification 🧮 math.NT
keywords quadraticalmostconductoruniversalcharacterizationpolynomialpolynomialspositive
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An integral quadratic polynomial (with positive definite quadratic part) is called almost universal if it represents all but finitely many positive integers. In this paper, we introduce the conductor of a quadratic polynomial, and give an effective characterization of almost universal ternary quadratic polynomials with odd prime power conductor.

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